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Ideas for Progress: Mathematics, Range 16–19

To enhance their skills in each mathematics-related strand, students who score in the 16–19 score range on the ACT® college readiness assessment may benefit from activities that encourage them to do the following:

Score Range 16–19
Number and Quantity
  • apply elementary number concepts, including identifying patterns pictorially and numerically (e.g., triangular numbers, arithmetic and geometric sequences), ordering integers, and identifying factors of whole numbers
  • recognize, identify, and apply basic properties of real numbers (e.g., commutative, associative, identities)
  • describe the distance between zero and a point on the number line
  • measure and describe, with appropriate units, the distance between two points
  • arrange data into meaningful arrays
  • identify the dimensions of a matrix
Algebra and Functions
  • solve routine mathematical problems that involve rates, proportions, and percents
  • model real-world and mathematical problems that contain verbal and symbolic representations of money
  • do multistep computations with rational numbers
  • generate expressions using combinations of symbols and numbers
  • describe real-world and mathematical problems associated with incremental change by using rate and/or slope language (e.g., feet per second, dollars per hour, change in y over change in x)
Algebra
  • evaluate algebraic expressions and solve simple equations, using integers
  • multiply two simple monomials
  • apply the distributive property to multiply a simple monomial by a binomial
Functions
  • recognize functions as mappings of an independent variable into a dependent variable
  • distinguish between domain and range
  • use function notation to create equations that model real-world and mathematical problems
  • evaluate polynomial functions that use function notation
Geometry
  • describe angles and triangles using mathematical terminology, and apply their properties
  • use angle relationships (e.g., complementary, adjacent, vertical) to find measures of unknown angles
  • sketch and identify the midpoint of a line segment
  • find area and perimeter of triangles and rectangles by substituting given values into standard geometric formulas
  • describe movement in the coordinate plane using positive and negative values
Statistics and Probability
  • read and interpret data and use appropriate measures of central tendency to find unknown values
  • gather, organize, display, and analyze data in a variety of ways for use in problem solving
  • use a variety of strategies (e.g., fundamental counting principle) to determine possible outcomes for simple events
  • conduct simple probability experiments, and represent results using different displays (e.g., tree diagrams, organized lists)